# Hee Jung Kim, PhD

Visiting Professor

## Educational & Professional Experience:

Ph.D. in Mathematics, Brandeis University

## Recent Publications

• “Topological spines of 4-manifolds”, with Daniel Ruberman, arXiv:1905.03608, appear to **Algebraic & Geometric Topology**

• “Infinite families of homologous 2-spheres in 4-manifolds”

with Dave Auckly, Paul Melvin, and Daniel Ruberman, in preparation

• “Equivariant hyperbolization of 3-manifolds via homology cobordisms”

with Dave Auckly, Paul Melvin, and Daniel Ruberman, arXiv:1804.03777, submitted for publication

• “Isotopy of surfaces in 4-manifolds after a single stabilization”

with Dave Auckly, Paul Melvin, Daniel Ruberman, and Hannah Schwartz, **Advances in Mathematics 341** (2019), 609–615

• “Knotted surfaces in 4-manifolds by Knot surgery and stabilization”,**Transactions of the American Mathematical Society 371, n.12** (2019), 8405–8427

• “Equivariant corks”, with Dave Auckly, Paul Melvin, and Daniel Ruberman, **Algebraic & Geometric Topology 17** (2017), 1771–1783

• “Stable isotopy in four dimensions”, with Dave Auckly, Paul Melvin, and Daniel Ruberman, **Journal of the London Mathematical Society 91**(2015), 439–463

• “Double point surgery and configurations of surfaces”, with Daniel Ruberman, **Journal of Topology 4(3)** (2011), 573–590

• “Smooth Surfaces with Non-simply-connected Complements”, with Daniel Ruberman, **Algebraic & Geometric Topology 8** (2008), 2263–2287

• “Topological Triviality of Smoothly Knotted Surfaces in 4-Manifolds”, with Daniel Ruberman, **Transactions of the American Mathematical Society 360** (2008), 5869-5881

• “Modifying Surfaces in 4-Manifolds by Twist Spinning”, **Geometry & Topology 10** (2006), 27–56